The Fly Between Two Cars
A one-lane road is $300$ miles long. Two cars start at opposite ends and drive toward each other at constant speeds: one at $90$ mph and the other at $45$ mph. A fly starts on the slower car and flies toward the faster car at
35$ mph. The moment it reaches the faster car, it immediately turns around and flies back to the slower car at the same speed. This continues until the two cars collide.
How many miles does the fly travel in total?
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